The difference of two integers is 1. The product of the integers is 30. What
are the integers?

Answers

Answer 1

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Let us take ,

First integer be x .Second integer be y .

Also let us consider x > y .

According to first Condition :-

⇒ x - y = 1.

⇒ x = y + 1. .............(i)

According to second Condition :-

⇒ x × y = 30 .

⇒ ( y + 1 )y = 30 . [ From (i) ]

⇒ y² + y = 30.

⇒ y² + y - 30 = 0 .

⇒ y² + 6y - 5y -30 = 0.

⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .

⇒ ( y + 6 ) ( y - 5 ) = 0 .

[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]

Here y can sustain both values 5 and minus 6 as y is an integer.

So , x = -6 , 5 .

Hence possible answers are ,

[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]

[tex]\qquad\qquad\qquad \bf Or [/tex]

[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]

.


Related Questions

HURRY (FIND RATE OF CHANGE)

Answers

Answer:

G

Step-by-step explanation:

50 dollars is the initial value of 0 deposits

150 dollars is equal to 1 deposit



mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.

priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint

are the 2 batches the same shade of pink??​

Answers

Answer:

no they are not

Step-by-step explanation:

priyas paint would be darker then mais paint because priya added an extra cup of red paint.

A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.

What is the acceleration of this helicopter?

______m/s2

Answers

Answer:

2m/s^2

Step-by-step explanation:

the difference between 30 and 40 is 10. divide 10 by 5 and you get 2

Answer:

The answer is 2m/s2

Step-by-step explanation:

i got it right

twice a number k plus the quantity s minus 2

Answers

2k + s - 2

I don't understand the question

Answer:

2k+s-2

Step-by-step explanation:

twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is

=2k+s-2

Math question please help

Answers

3/4 (divided by) 1/48
3/4 *48/1
=(3*48)/ (4*1)
=144/4
= 36 pieces

brainliest??

Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?

Answers

it cost $20 because if you divide 18 by 9 you get 2 which means that if you multiply 2 by 10 the total would be 20

Please help me with this

Answers

Answer:

A = (4, -2)

B = (-2, -2)

C = (-2, 2)

Please Brainliest! It wuld help out a lot..

A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.

Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.

(Choose 3 Choices)

Question 1 options:

a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2


a dilation by a scale factor of 2 and then a reflection across the y-axis


a clockwise rotation of 90 degrees and then a reflection across the y-axis


a translation 5 units down and then a dilation by a scale factor of 2


a translation 5 units down and then clockwise rotation of 90 degrees


a reflection across y-axis and then translation 5 units down

Answers

Answer: a c e are the correct ones i think

A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?

A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.

Answers

Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.

Step-by-step explanation:

Given: A popular restaurant advertises that it delivers its orders within 30 minutes.

Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.

z-score value represents the number of standard deviations is the data value is far from mean.

Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.

Hence, the correct option is B.

Answer:

B

Step-by-step explanation:

Candice skipped 12 m in 3 seconds. What was her speed in m/s?

Answers

Answer:

4 m/s

Step-by-step explanation:

Take the number of meters and divide by the number of seconds

12 m/3s

4 m/s

Her speed is 4m per second. Remember the formula for speed is Distance divided by Time

find the possible factor for the estimated product 5,600​

Answers

Answer:

Question example:

$46.76 for 4 pounds. What is the price per pound?

Answers

9514 1404 393

Answer:

  $11.69 per pound

Step-by-step explanation:

To find price per pound, divide price by pounds:

  $46.76/(4 lb) = $11.69/lb

-7+8
what is negative 7 plus 8?

Answers

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

22/50 of a number is what percentage of that number ​

Answers

Answer:

44percent

Step-by-step explanation:

in order to find the percent you just divide the numerator by the denomincator, hope this helps!

Simplify the following expression.

5.3x − 8.14 + 3.6x + 9.8

A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66

Answers

Answer:

D

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66

giving brainliest !!!!!!

Answers

Answer:

[tex]m\angle{QPR}}=40[/tex]

Step-by-step explanation:

We are given that lines [tex]PQ[/tex] and [tex]PS[/tex] are perpendicular lines, meaning they intersect and each other, and as a result, create a right angle ([tex]90[/tex]).

With that being said, let's add the expressions representative of the two angles and set them equal to [tex]90[/tex] degrees:

[tex]7x-9+4x+22=90[/tex]

Combine like terms:

[tex]11x+13=90[/tex]

Subtract 13 from both sides of the equation:

[tex]11x=77[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]11[/tex]:

[tex]x=7[/tex]

Now, let's substitute this into the expression of angle [tex]QPR[/tex]:

[tex]7(7)-9[/tex]

[tex]=40[/tex]

_

You can check your work by substituting the value of [tex]x[/tex] into the other expression, and then adding that answer with our initial answer to make sure it equals [tex]90[/tex] degrees:

[tex]4(7)+22[/tex]

[tex]28+22=50[/tex]

[tex]40+50=90[/tex]

Since the two angles add up to 90, our answer is correct!

Six and forty-two ten-thousandths as a decimal

Answers

Answer:

6.0042

Step-by-step explanation:

6 and forty-two ten-thousandths as a decimal.

mixed number : [tex]6\frac{42}{10,000}[/tex]

decimal : 6.0042

Give 3 names for x intercepts of a quadrants equation

Answers

Answer:

Zeros

Roots

Solution (Set)

Step-by-step explanation:

As you can tell there are a handful of different names!

The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables

Answers

Answer:

Kindly check explanation and attached picture

Step-by-step explanation:

Given the data:

Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12

Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8

a. Make a scatter plot of mean weight against age.

Scatter plot of mean weight against age can be found in the attached picture

b. Is there a positive or negative association between the two variables

There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive

A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money did the club have at first? *

Answers

Answer:

$71713

Step-by-step explanation:

If each chair cost $199 then multiple 199 by 355

[tex]199*355= 70645[/tex]

If they still have 1068 then add that into the sum

[tex]70645+1068=71713[/tex]

So your answer is $71713

Answer: $71,713

Step-by-step explanation:

First you would multiply 355 by 199 to get 70,645. Next you would add the remainder of what they had, $1,068, and get the answer. hope this helps.

The surface area of the rectangular prism can be found using the expression
6
x
3
+
4
x
2
+
12
x
. If the value of x is 3, what is the surface area, in square centimeters, of the prism?

Answers

Answer:

102

Step-by-step explanation:

6*3*3+4*3*2+12*2=102

hopefully, it's right

UM WHAT I NEED SOME ADMINS LOOK

Answers

Answer:

LOL UGH THAT KEEPS HAPPENING TO ME

Step-by-step explanation:

Answer:

try reloading the page or check your internet

Step-by-step explanation:

A table is on sale for 25% off. The original price of the table is $132.00.
What is the discounted price of the table?
$128.00
$33.00
$107.00
$99.00

Answers

Answer:

99%

Step-by-step explanation:

25% of 132 is 33 so 132-33 is $99

Answer: 99

Step-by-step explanation:

turn 25% into a decimal which is .25 and multiply it by 132 to get 33. Thats how much 25% of 132 is so you subtract it to get how much it costs with the sale price.

Find Each Difference.
1) 2-(-2)=
2) (-1)-10=
3) 8-7=
4) (-8)-(-6)

Answers

Answer:

1) 4

2) -11

3) 1

4) -2

Step-by-step explanation:

Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?

Answers

Answer:

Step-by-step explanation:

9kg

I have 7 cookies. If I eat 1/4 of them of the cookies. How many cookies do I have left?

Answers

Answer:

6 thirds

Step-by-step explanation:

you're welcome

If the three segments below were used to form a triangle,
what could the values for the length of the third side be?
Check all that apply.

Answers

Answer: 1, 2, 7, 9

Step-by-step explanation:

the sum of two sides must be greater than the third, "Triangle Inequality theorem"

How much was the initial website fee? (from this equation)

Answers

Answer:

y= .75x + 3.75

Step-by-step explanation:

1. Distribute x:

Original Equation= y-2.25=.75(x-8)

So you just do .75 times x and .75 times -8= .75x - 6

2. Isolate the y Variable:

Add 2.25 to both sides. So -6 + 2.25= 3.75

Now you have left y= .75x + 3.75

Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)

Answers

Answer:

y = 3x+7

Step-by-step explanation:

The standard form of equation in slope-intercept form is:

y = mx+c

m is the slope

c is the intercept

Given the coordinates (-3, -2) and (3, 16)

Get the slope;

Slope = ∆y/∆x

Slope = y2-y1/x2-x1

Slope = 16-(-2)/3-(-3)

Slope = 16+2/3+3

Slope = 18/6

Slope = 3

Get the Intercept

Substitute one of the points in the formula:

Using the coordinate (-3, -2)

y = mx+c

-2 = 3(-3)+c

-2 = -9 + C

c = -2+9

c = 7

Get the equation of the line by substituting m and c into the equation y = mx+c

y = 3x+7

Can someone help and evaluate this please

Answers

the answer is 252





PEMDAS OR BEDMAS EVALUATION WILL HELP, parentheses first then outside of the parentheses from left to right. remember 3 to the power of 2 doesn’t mean 3 x 2, it means 3 x 3 basically doubling the number in a multiplication problem
Other Questions
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing? "A Hunger Artist" by: Franz Kafka Whose task was it to watch the hunger artist day and night Joni Splish Brothers Inc. has the following amounts reported in its general ledger at the end of the current year. Organization costs $23,800 Trademarks 15,700 Discount on bonds payable 36,800 Deposits with advertising agency for ads to promote goodwill of company 11,800 Excess of cost over fair value of net identifiable assets of acquired subsidiary 76,800 Cost of equipment acquired for research and development projects; the equipment has an alternative future use 86,800 Costs of developing a secret formula for a product that is expected to be marketed for at least 20 years 82,600Required:On the basis of this information, compute the total amount to be reported by Hyde for intangible assets on its balance sheet at year-end. I will give you 25 points help please Why were epics so important to historians? a car slows down from 50.0m/s to 20.0m/s in 60s what is the acceleration While there in the midst of the flour barrels piled up all around him, the horses took fright at some strange sight which they encountered, and in a terrible scare rushed down a steep hill, turned a sharp corner, broke the tongue of the wagon and both of the axle-trees, and whirled the heavy barrels about in every direction. The escape of David from very serious injuries seemed almost miraculous. But our little barbarian leaped from the ruins unscathed. What does the setting reveal in this excerpt? The person may not have made a wise choice initially; the chosen career may no longer exist; values and interests may have changed. These are all reasons forquitting a jobchanging careersgoing back to schoolasking for a promotion Cmo es tu comunidad? I am to mental for this math... XD plz h e l p 6 lbs of potatoes cost $72. How manylbs of potatoes can you get with $516? another graph please right answer gets brainlyest What is the mass of a car if 4500N of force is used to accelerate it at a rate of 3.0m/s? JUST PLEASE HELP ME I CANT I WILL GIVE BRAINLIST J SWEAR IM BEING TIMED Espaol 2: Una conversacin usando IR. Completa la conversacin usando conjugaciones correctas de IR. (Complete the conversation using correct conjugations of IR.)Mira las palabras en negrilla y subrayadas. (Look at the words in bold and underlined.)Claudia y Pablo hablan en la escuela.Claudia: Tengo mucha tarea en la clase de ingls! Yo 1. ______ a la biblioteca...2. _______ t y yo?Pablo: No, yo no 3. ______ a la biblioteca hoy. Claudia: No 4. _______ t a la biblioteca? Tienes que hacer la tarea de ingls!Pablo: S, pero necesito comprar pizza y un refresco. Mis amigos y yo 5. _______ a la cafetera. Despus, yo 6. _______ al gimnasio y ellos 7. ______ a la clase de Espaol 2. Claudia: 8. _______ Carlos al gimnasio?Pablo: No, l 9. _____ a la biblioteca para estudiar.Claudia: Ay, Pablo! T tambin necesitas ir. 10. ______ t y Carlos maana?Pablo: S, todos nosotros 11. _______ maana. Use the drop-down menus to answer the questions. What can you conclude about the work of engineers based on today's reading? Which is an important character trait for an engineer or inventor? how did the army interact with the public Should we contnue to experiment and test treatments on animals? what did the british force the colonists to do after the french and indian war Last summer,emelian decided to measure change in a swimming pools water level each week. It was hot and dry the first week and the level decreased by 8 inches.During the second week, it rained and the water level increased by 17 inches. Model the changes as a sum of integers.